• Kyungpook Mathematical Journal
• /
• 제55권2호
• /
• pp.395-410
• /
• 2015

For functions $f(z)=z+a_2z^2+a_3z^3+{\cdots}$ with ${\mid}a_2{\mid}=2b$, $b{\geq}0$, sharp radii of starlikeness of order ${\alpha}(0{\leq}{\alpha}<1)$, convexity of order ${\alpha}(0{\leq}{\alpha}<1)$, parabolic starlikeness and uniform convexity are derived when ${\mid}a_n{\mid}{\leq}M/n^2$ or ${\mid}a_n{\mid}{\leq}Mn^2$ (M>0). Radii constants in other instances are also obtained.

• Brain Tumor Research and Treatment
• /
• 제6권2호
• /
• pp.97-100
• /
• 2018

Meningioma is relatively common, benign, and extra-axial tumor accounting for about 20% of primary brain and spinal cord tumors. The World Health Organization (WHO) classified these tumors into Grade I (benign), Grade II (atypical), and Grade III (anaplastic) meningioma. Grade I meningioma which is slowly growing tumor and have some rare subtypes. Among them, metaplastic subtype is defined as a tumor containing focal or widespread mesenchymal components including osseous, cartilaginous, lipomatous, myxoid or xanthomatous tissue, singly or in combinations. We report a rare metaplastic meningioma overspreading nearly whole cerebral convexity from main extra-axial tumor bulk in the parietal lobe.

• Nonlinear Functional Analysis and Applications
• /
• 제26권2호
• /
• pp.433-442
• /
• 2021

Let X and X^* be a Banach space and its dual, respectively, and let B(X) and S(X) be the unit ball and unit sphere of X, respectively. In this paper, we study the relation between Modulus of n-dimensional U-convexity in X^* and normal structure in X. Some new results about fixed points of nonexpansive mapping are obtained, and some existing results are improved. Among other results, we proved: if X is a Banach space with $U^n_{X^*}(n+1)>1-{\frac{1}{n+1}}$ where n ∈ ℕ, then X has weak normal structure.

• 대한치과교정학회지
• /
• 제28권5호
• /
• pp.751-761
• /
• 1998

악교정 수술이 꼭 필요한 골격성 제 III급 부정교합환자의 측모두부방사선 사진상의 특징을 알아보기 위하여, 골격성 제III급 부정교합으로 진단받고 수술예정이거나 수술을 시행한 7-17세의 남녀 37명을 실험군으로 하고, 정상교합을 가진 8-13세의 남녀 56명을 정상군으로 하여, 두 군을 비교분석한 바, 다음과 같은 결론을 얻었다. 1. Prepubertal Group내에서의 실험군과 정상군의 비교에서 ANS-U1/Me-L1, Mx. Length/Mn. Length, S-N/Go-Me, Wits, ANB, SN-Pog, IMPA, Facial Convexity, APDI 항목에서 유의차가 있었다. 2. Pubertal Group 내에서의 실험군과 정상군의 비교에서 ANS-U1/Me-L1, S-Go/N-Me, Mx. Lenth/Mn. Length, S-N/Go-Me, Wits, Saddle Angle, SNB, ANB, SN-Pog, IMPA, Interincisal Angle, Facial Convexity, APDI 항목에서 유의차가 있었다. 3. 골격성 제 III급 부정교합의 특성을 나타내는 항목들 중 Prepubertal Group과 Pubertal Group간에는 95% 유의수준에서 Mx. Length/Mn. Length, APDI 외에 다른 항목에서는 유의한 차이가 없었다. 4. 실험군에서 골격성 제 III급 부정교합의 특성을 나타내는 항목들 중 Saddle Angle과 SNB, SN-Pog와 SNB, ANB와 Facial Convexity항목 사이의 상관관계가 가장 높게 나타났다.

• 호남수학학술지
• /
• 제38권3호
• /
• pp.495-506
• /
• 2016

In this paper, we introduce and investigate a new subclass of meromorphic functions associated with a certain integral operator on Hilbert space. For this class, we obtain several properties like the coefficient inequality, extreme points, radii of close-to-convexity, starlikeness and meromorphically convexity and integral transformation. Further, it is shown that this class is closed under convex linear combination.

• 호남수학학술지
• /
• 제37권4호
• /
• pp.513-527
• /
• 2015

In this paper, we first introduce and study new concepts of ($k_1,{\cdots},k_n$)-convexity and k-segment. Secondly, we shall discuss some properties of nonisotropically starlike domains in $\mathbb{R}^n$ with respect to the origin.

• 호남수학학술지
• /
• 제30권2호
• /
• pp.335-341
• /
• 2008

In this paper, we use the convexity of distance function between geodesics in a singular Hadamard space to generalize Hadamard-Cartan theorem for 2-dimensional metric spaces. We also determine a neighborhood of a closed geodesic where no other closed geodesic exists in a complete space of nonpositive curvature.

• Journal of applied mathematics & informatics
• /
• 제26권1_2호
• /
• pp.251-261
• /
• 2008

In this paper second order cone convex, second order cone pseudoconvex, second order strongly cone pseudoconvex and second order cone quasiconvex functions are introduced and their interrelations are discussed. Further a MondWeir Type second order dual is associated with the Vector Minimization Problem and the weak and strong duality theorems are established under these new generalized convexity assumptions.

• Kyungpook Mathematical Journal
• /
• 제50권4호
• /
• pp.499-507
• /
• 2010

A new class of univalent holomorphic functions with fixed finitely many coefficients based on Generalized fractional derivative are introduced. Also some important properties of this class such as coefficient bounds, convex combination, extreme points, Radii of starlikeness and convexity are investigated.

• Journal of the Korean Statistical Society
• /
• 제1권1호
• /
• pp.18-24
• /
• 1973

Study on convexity has been improved in many statistical fields, such as linear programming, stochastic inverntory problems and decision theory. In proof of main theorem in Section 3, M. Loeve already proved this theorem with the $r$-th absolute moments on page 160 in [1]. Main consideration is given to prove this theorem using convex theorems with the generalized $t$-th mean when some convex properties hold on a real linear vector space $R_N$, which satisfies all properties of finite dimensional Hilbert space. Throughout this paper $\b{x}_j, \b{y}_j$ where $j = 1,2,......,k,.....,N$, denotes the vectors on $R_N$, and $C_N$ also denotes a subspace of $R_N$.